P
US8640734B2ActiveUtilityPatentIndex 70

Manufacturing method of flow passage network and flow passage network using the same

Assignee: LEE SANG-JOONPriority: Nov 12, 2009Filed: Nov 11, 2010Granted: Feb 4, 2014
Est. expiryNov 12, 2029(~3.4 yrs left)· nominal 20-yr term from priority
Inventors:LEE SANG JOONLEE JUNG-YEOP
Y10T137/8593F16L 41/023F16L 25/14Y10T137/85938F16L 41/02Y10T137/2224F16L 55/02
70
PatentIndex Score
4
Cited by
6
References
3
Claims

Abstract

An exemplary embodiment of the present invention relates to a manufacturing method of a flow passage network and a flow passage network for minimizing energy loss occurring during fluid flow, and there are effects in which flow loss is reduced during fluid transport and the energy efficiency of flow passages increases by optimizing geometric factors of flow passages on the basis of biomimetic techniques and theoretical formulae of fluid mechanics. Further, it is effective in manufacturing microfluidics in which laminar flow with a low Reynolds number is dominant.

Claims

exact text as granted — not AI-modified
What is claimed is: 
     
       1. A manufacturing method of a flow passage network including a flow passage in which a mother vessel having a radius of α 0  and a first branch and a second branch bifurcated from the mother vessel and having radiuses of α 1  and α 2 , respectively, the method comprising:
 a first step of setting a diameter D 0  of the mother vessel to 1 and setting a bifurcation angle θ 1  of the first branch to a predetermined value; 
 a second step of calculating a diameter D 1  of the first branch by substituting the diameter D 0  of the mother vessel and a bifurcation angle θ 1  of the first branch set in the first step into 
 
       
         
           
             
               
                 
                   cos 
                   ⁢ 
                   
                       
                   
                   ⁢ 
                   
                     θ 
                     1 
                   
                 
                 = 
                 
                   
                     
                       a 
                       0 
                       4 
                     
                     + 
                     
                       a 
                       1 
                       4 
                     
                     - 
                     
                       
                         ( 
                         
                           
                             a 
                             0 
                             3 
                           
                           - 
                           
                             a 
                             1 
                             3 
                           
                         
                         ) 
                       
                       
                         4 
                         / 
                         3 
                       
                     
                   
                   
                     2 
                     ⁢ 
                     
                       a 
                       0 
                       2 
                     
                     ⁢ 
                     
                       a 
                       1 
                       2 
                     
                   
                 
               
               ; 
             
           
         
         a third step of calculating a diameter D 2  of the second branch by substituting the diameter D 0  of the mother vessel and the diameter D 1  of the first branch calculated in the second step into D 0   3 =D 1   3 +D 2   3 ; 
         a fourth step of calculating a bifurcation angle θ 2  of the second branch by substituting the diameter D 0  of the mother vessel and the diameter D 2  of the second branch calculated in the third step into 
       
       
         
           
             
               
                 
                   cos 
                   ⁢ 
                   
                       
                   
                   ⁢ 
                   
                     θ 
                     2 
                   
                 
                 = 
                 
                   
                     
                       a 
                       0 
                       4 
                     
                     - 
                     
                       
                         ( 
                         
                           
                             a 
                             0 
                             3 
                           
                           - 
                           
                             a 
                             2 
                             3 
                           
                         
                         ) 
                       
                       
                         4 
                         / 
                         3 
                       
                     
                     + 
                     
                       a 
                       2 
                       4 
                     
                   
                   
                     2 
                     ⁢ 
                     
                       a 
                       0 
                       2 
                     
                     ⁢ 
                     
                       a 
                       2 
                       2 
                     
                   
                 
               
               ; 
             
           
         
       
       and
 a fifth step of checking whether the diameters D 0 , D 1 , and D 2  and the bifurcation angles θ 1 , θ 2 , and θ 1+2  have been calculated to have correct values by using 
 
       
         
           
             
               
                 
                   cos 
                   ⁡ 
                   
                     ( 
                     
                       θ 
                       
                         1 
                         + 
                         2 
                       
                     
                     ) 
                   
                 
                 = 
                 
                   
                     
                       
                         ( 
                         
                           
                             a 
                             1 
                             3 
                           
                           + 
                           
                             a 
                             2 
                             3 
                           
                         
                         ) 
                       
                       
                         4 
                         / 
                         3 
                       
                     
                     - 
                     
                       a 
                       1 
                       4 
                     
                     - 
                     
                       a 
                       2 
                       4 
                     
                   
                   
                     2 
                     ⁢ 
                     
                       a 
                       1 
                       2 
                     
                     ⁢ 
                     
                       a 
                       2 
                       2 
                     
                   
                 
               
               ; 
             
           
         
       
       and
 forming the flow passage network comprising the mother vessel, the first branch, and the second branch. 
 
     
     
       2. The method of  claim 1 , further comprising
 a sixth step of determining whether any one of the first branch and the second branch is bifurcated, returning to the first step in order to determine geometric factors of the next branches when any one of the first branch and the second branch is branched, and finishing when both the first branch and the second branch are not bifurcated. 
 
     
     
       3. The method of  claim 2 , further comprising
 after the sixth step, a seventh step of calculating a global flow resistance P total  of the flow passage network by adding a manufacture condition regarding the diameters and lengths of the branches by using 
 
       
         
           
             
               
                 P 
                 total 
               
               = 
               
                 
                   
                     ∑ 
                     
                       i 
                       = 
                       0 
                     
                     n 
                   
                   ⁢ 
                   
                     Δ 
                     ⁢ 
                     
                         
                     
                     ⁢ 
                     
                       p 
                       i 
                     
                   
                 
                 = 
                 
                   
                     
                       128 
                       ⁢ 
                       
                           
                       
                       ⁢ 
                       v 
                     
                     π 
                   
                   ⁢ 
                   
                     m 
                     . 
                   
                   ⁢ 
                   
                     
                       ∑ 
                       
                         i 
                         = 
                         0 
                       
                       n 
                     
                     ⁢ 
                     
                       
                         
                           L 
                           i 
                         
                         
                           D 
                           i 
                           4 
                         
                       
                       .

Cited by (0)

No later patents cite this yet.

References (0)

No backward citations on record.